Abstract MATLAB environment is tested on various occasions for the software applications. Many new software products are initially tested in MATLAB environment. In this work, we generated a linear optimization task which is termed the transport simplicity method. This task involves the quantities allocation among the source group and more groups to reduce the allocation of cost and energy. Finally, the... MATLAB environment is tested on various occasions for the software applications. Many new software products are initially tested in MATLAB environment. In this work, we generated a linear optimization task which is termed the transport simplicity method. This task involves the quantities allocation among the source group and more groups to reduce the allocation of cost and energy. Finally, the authors can use MATLAB environment to apply the Transport Problem Solving Program in optimization methods. Read More Read Less

Abstract We constructed a crucial type of Hilbert Space with a new approach. We have explained the 3,2,p -N-symmetrizable Hilbert space with a set of (3,2,p)-metric d on it. The proposed Hilbert Space has significant topological structure and properties. Thus, the special topologies we suggested are able to add to the notion of metric spaces.... We constructed a crucial type of Hilbert Space with a new approach. We have explained the 3,2,p -N-symmetrizable Hilbert space with a set of (3,2,p)-metric d on it. The proposed Hilbert Space has significant topological structure and properties. Thus, the special topologies we suggested are able to add to the notion of metric spaces. Read More Read Less

Abstract Educational software and tools play a major role in Information and Communication Technology. For seventh-grade elementary schools, the GeoGebra software is used, which is tested in this paper for its effectiveness. Selected students were used to solicit responses. We found a positive correlation between mathematics learning and GeoGebra learning outcome. ... Educational software and tools play a major role in Information and Communication Technology. For seventh-grade elementary schools, the GeoGebra software is used, which is tested in this paper for its effectiveness. Selected students were used to solicit responses. We found a positive correlation between mathematics learning and GeoGebra learning outcome. Read More Read Less